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5107585013 is a prime number
BaseRepresentation
bin1001100000110111…
…11000111111110101
3111011221211012110022
410300123320333311
540430020210023
62202453134525
7240366520256
oct46033707765
914157735408
105107585013
11219110a243
12ba662a445
1363522996b
143664a8b2d
151ed6087c8
hex1306f8ff5

5107585013 has 2 divisors, whose sum is σ = 5107585014. Its totient is φ = 5107585012.

The previous prime is 5107584991. The next prime is 5107585097. The reversal of 5107585013 is 3105857015.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4914430609 + 193154404 = 70103^2 + 13898^2 .

It is a cyclic number.

It is not a de Polignac number, because 5107585013 - 220 = 5106536437 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5107581013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2553792506 + 2553792507.

It is an arithmetic number, because the mean of its divisors is an integer number (2553792507).

Almost surely, 25107585013 is an apocalyptic number.

It is an amenable number.

5107585013 is a deficient number, since it is larger than the sum of its proper divisors (1).

5107585013 is an equidigital number, since it uses as much as digits as its factorization.

5107585013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21000, while the sum is 35.

The square root of 5107585013 is about 71467.3702678362. The cubic root of 5107585013 is about 1722.1535370884.

The spelling of 5107585013 in words is "five billion, one hundred seven million, five hundred eighty-five thousand, thirteen".